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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=5, b1>=-23/4 > For fixed z and a1=5, b1=-17/4





http://functions.wolfram.com/07.22.03.7451.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(17/4), 17/4}, -z] == (1/(3342336 z^(13/4))) (6 z^(1/4) (91216125 - 45945900 z + 12141360 z^2 - 2862976 z^3 + 441600 z^4 + 12288 z^5) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-273648375 + 575675100 z - 243991440 z^2 + 57214080 z^3 - 14657280 z^4 + 811008 z^5 + 65536 z^6) Cos[2 Sqrt[z]] - 2 Sqrt[z] (273648375 - 210810600 z + 60207840 z^2 - 14826240 z^3 + 2568192 z^4 + 65536 z^5) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (273648375 - 210810600 z + 60207840 z^2 - 14826240 z^3 + 2568192 z^4 + 65536 z^5) Cos[2 Sqrt[z]] + (-273648375 + 575675100 z - 243991440 z^2 + 57214080 z^3 - 14657280 z^4 + 811008 z^5 + 65536 z^6) Sin[2 Sqrt[z]]))










Standard Form





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MathML Form







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</apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02